1. Math
  2. Statistics And Probability
  3. problem 6 poisson is pronounced pwahssohn a suppose that x...

Question: problem 6 poisson is pronounced pwahssohn a suppose that x...

Question details

Problem 6. [Poisson is Pronounced Pwah-ssohn] (a) Suppose that X is a random variable following the Poisson distribution with rate parameter A. Show that E[x]-A Hint: You may find the following fact useful: at k! (b) Suppose that we obtained the following count data: Count Frequency 24 30 17 19 Fit a Poisson distribution to the data using the Method of Moments (c) Suppose that X is a random variable that follows the Poisson distribution that you fit in part (b). Compute P(X0). P(X1), and P(x 2). Are these similar to the sample probabilities from the data in part (b)? Based on these probabilities alone, comment on whether the Poisson distribution is a good fit to the above data
Solution by an expert tutor
Blurred Solution
This question has been solved
Subscribe to see this solution